diskreettiajaiset
Diskreettiajaiset, meaning “discrete intervals” in Finnish, refers to subsets of the integer set that are separated by a constant step size. Formally, a discrete interval of step size h is a sequence of integers i = a + k·h (k ∈ ℤ) bounded by two extreme values, a ≤ i ≤ b. The notation [a, b]∩(a + hℤ) is often used to denote a discrete interval. When h = 1 the interval reduces to a contiguous block of adjacent integers. Diskreettiajaiset are foundational in discrete mathematics, combinatorics, and computer science, particularly in the representation of time steps in discrete-time processes, indexing of arrays, and enumeration of lattice points.
In signal processing, discrete intervals model the sampling instants at which a continuous-time signal is observed.
Mathematically, many properties of discrete intervals mirror those of continuous intervals, such as interval arithmetic and
Related concepts include arithmetic progressions, which are essentially discrete intervals with constant difference, and the mesh